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Finding the Fourth Proportional to 472,394,710.40, 708,592,065.60 and 265,770,449.60

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Solution

The fourth proportional to 472,394,710.40, 708,592,065.60 and 265,770,449.60 is: 398,655,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,394,710.40 : 708,592,065.60 = 265,770,449.60 : x
  2. Step 2: Convert to fraction form
    472,394,710.40/708,592,065.60 = 265,770,449.60/x
  3. Step 3: Cross multiply
    472,394,710.40x = 708,592,065.60 × 265,770,449.60
  4. Step 4: Simplify right side
    472,394,710.40x = 188,322,831,857,504,704
  5. Step 5: Solve for x
    x = 188,322,831,857,504,704/472,394,710.40
  6. Step 6: Final answer
    x = 398,655,674.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.